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In this work, we develop Gaussian process regression (GPR) models of hyperelastic material behavior. First, we consider the direct approach of modeling the components of the Cauchy stress tensor as a function of the components of the Finger…

Machine Learning · Statistics 2019-12-24 Ari Frankel , Reese Jones , Laura Swiler

Gaussian Process Regression (GPR) is an important type of supervised machine learning model with inherent uncertainty measure in its predictions. We propose a new framework, nuGPR, to address the well-known challenge of high computation…

Machine Learning · Computer Science 2025-10-15 Ziqi Zhao , Vivek Sarin

Gaussian process regression (GPR) has been a well-known machine learning method for various applications such as uncertainty quantifications (UQ). However, GPR is inherently a data-driven method, which requires sufficiently large dataset.…

Machine Learning · Computer Science 2023-05-03 Cheng Chang , Tieyong Zeng

Almost all scientific data have uncertainties originating from different sources. Gaussian process regression (GPR) models are a natural way to model data with Gaussian-distributed uncertainties. GPR also has the benefit of reducing I/O…

Machine Learning · Statistics 2025-12-16 Haoyu Li , Isaac J Michaud , Ayan Biswas , Han-Wei Shen

Retinal prostheses restore vision by electrically stimulating surviving neurons, but calibrating perceptual thresholds (i.e., the minimum stimulus intensity required for perception) remains a time-intensive challenge, especially for…

Quantitative Methods · Quantitative Biology 2025-04-30 Roksana Sadeghi , Michael Beyeler

A practical approach to evaluate performance of a Gaussian process regression models (GPR) for irregularly sampled sparse time-series is introduced. The approach entails construction of a secondary autoregressive model using the fine scale…

Methodology · Statistics 2016-11-10 Mehmet Süzen , Abed Ajraou

We formulate a reduced-order strategy for efficiently forecasting complex high-dimensional dynamical systems entirely based on data streams. The first step of our method involves reconstructing the dynamics in a reduced-order subspace of…

Data Analysis, Statistics and Probability · Physics 2017-03-08 Zhong Yi Wan , Themistoklis P. Sapsis

We introduce a straightforward Gaussian process regression (GPR) model for the transition structure factor of metal periodic coupled cluster singles and doubles (CCSD) calculations. This is inspired by the method introduced by Liao and…

Computational Physics · Physics 2022-06-08 Laura Weiler , Tina N. Mihm , James J. Shepherd

Extreme cornering in racing often leads to large sideslip angles, presenting a significant challenge for vehicle control. Conventional vehicle controllers struggle to manage this scenario, necessitating the use of a drifting controller.…

Robotics · Computer Science 2025-06-03 Guoqiang Wu , Cheng Hu , Wangjia Weng , Zhouheng Li , Yonghao Fu , Lei Xie , Hongye Su

Gaussian Process Regression (GPR) is a Bayesian method for inferring profiles based on input data. The technique is increasing in popularity in the fusion community due to its many advantages over traditional fitting techniques including…

Methodology · Statistics 2022-09-07 Jarrod Leddy , Sandeep Madireddy , Eric Howell , Scott Kruger

Gaussian process regression (GPR) is a useful technique to predict composition--property relationships in glasses as the method inherently provides the standard deviation of the predictions. However, the technique remains restricted to…

Computational Physics · Physics 2020-07-07 Suresh Bishnoi , R. Ravinder , Hargun Singh , Hariprasad Kodamana , N. M. Anoop Krishnan

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications. It provides both a mean predictor and an…

The extraction of parton distribution functions (PDFs) from experimental or lattice QCD data is an ill-posed inverse problem, where regularization strongly impacts both systematic uncertainties and the reliability of the results. We study a…

High Energy Physics - Lattice · Physics 2026-02-11 Yamil Cahuana Medrano , Hervé Dutrieux , Joseph Karpie , Kostas Orginos , Savvas Zafeiropoulos

Interference prediction and resource allocation are critical challenges in mission-critical applications where stringent latency and reliability constraints must be met. This paper proposes a novel Gaussian process regression (GPR)-based…

Signal Processing · Electrical Eng. & Systems 2025-10-31 Syed Luqman Shah , Nurul Huda Mahmood , Matti Latva-aho

Gaussian process (GP) is a Bayesian model which provides several advantages for regression tasks in machine learning such as reliable quantitation of uncertainty and improved interpretability. Their adoption has been precluded by their…

Machine Learning · Computer Science 2023-06-26 Jonathan Parkinson , Wei Wang

Data-driven constitutive modeling is an emerging field in computational solid mechanics with the prospect of significantly relieving the computational costs of hierarchical computational methods. Traditionally, these surrogates have been…

Computational Engineering, Finance, and Science · Computer Science 2022-04-20 Jan Niklas Fuhg , Nikolaos Bouklas

Gaussian processes (GPs) are a widely used regression tool, but the cubic complexity of exact solvers limits their scalability. To address this challenge, we extend the GPRat library by incorporating a fully GPU-resident GP prediction…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-24 Henrik Möllmann , Dirk Pflüger , Alexander Strack

Many numerical algorithms have been established to reconstruct pressure fields from measured kinematic data with noise by Particle Image Velocimetry (PIV), such as the Pressure Poisson solver and the Omni-Directional Integration (ODI)…

Fluid Dynamics · Physics 2023-02-01 Zejian You , Qi Wang , Xiaofeng Liu

Gaussian Process Regression (GPR) is a powerful and elegant method for learning complex functions from noisy data with a wide range of applications, including in safety-critical domains. Such applications have two key features: (i) they…

Machine Learning · Computer Science 2024-12-23 Robert Reed , Luca Laurenti , Morteza Lahijanian

Early age behaviour of concrete is based on complex multi-physical and multiscale phenomena. The predication of both cracking risk and residual stresses in hardened concrete structures is still a challenging task. We propose in this paper a…

Classical Physics · Physics 2008-12-18 Jihad Zreiki , Vincent Lamour , Mohend Chaouche , Micheline Moranville